diff --git a/.github/workflows/array-api-tests-torch.yml b/.github/workflows/array-api-tests-torch.yml
index 56ab81a3..1b01f755 100644
--- a/.github/workflows/array-api-tests-torch.yml
+++ b/.github/workflows/array-api-tests-torch.yml
@@ -7,5 +7,3 @@ jobs:
     uses: ./.github/workflows/array-api-tests.yml
     with:
       package-name: torch
-      extra-env-vars: |
-        ARRAY_API_TESTS_SKIP_DTYPES=uint16,uint32,uint64
diff --git a/array_api_compat/torch/_aliases.py b/array_api_compat/torch/_aliases.py
index 5b20aabc..ed47af78 100644
--- a/array_api_compat/torch/_aliases.py
+++ b/array_api_compat/torch/_aliases.py
@@ -96,6 +96,53 @@
 }
 
 
+try:
+    # torch >=2.3
+    _uint_promotion_table = {
+        # uints
+        (torch.uint8, torch.uint16): torch.uint16,
+        (torch.uint8, torch.uint32): torch.uint32,
+        (torch.uint8, torch.uint64): torch.uint64,
+        (torch.uint16, torch.uint8): torch.uint16,
+        (torch.uint16, torch.uint16): torch.uint16,
+        (torch.uint16, torch.uint32): torch.uint32,
+        (torch.uint16, torch.uint64): torch.uint64,
+        (torch.uint32, torch.uint8): torch.uint32,
+        (torch.uint32, torch.uint16): torch.uint32,
+        (torch.uint32, torch.uint32): torch.uint32,
+        (torch.uint32, torch.uint64): torch.uint64,
+        (torch.uint64, torch.uint8): torch.uint64,
+        (torch.uint64, torch.uint16): torch.uint64,
+        (torch.uint64, torch.uint32): torch.uint64,
+        (torch.uint64, torch.uint64): torch.uint64,
+        # ints and uints (mixed sign)
+        (torch.int8, torch.uint16): torch.int32,
+        (torch.int8, torch.uint32): torch.int64,
+        (torch.int16, torch.uint8): torch.int16,
+        (torch.int16, torch.uint16): torch.int32,
+        (torch.int16, torch.uint32): torch.int64,
+        (torch.int32, torch.uint8): torch.int32,
+        (torch.int32, torch.uint16): torch.int32,
+        (torch.int32, torch.uint32): torch.int64,
+        (torch.int64, torch.uint8): torch.int64,
+        (torch.int64, torch.uint16): torch.int64,
+        (torch.int64, torch.uint32): torch.int64,
+        (torch.uint16, torch.int8): torch.int32,
+        (torch.uint16, torch.int16): torch.int32,
+        (torch.uint16, torch.int32): torch.int32,
+        (torch.uint16, torch.int64): torch.int64,
+        (torch.uint32, torch.int8): torch.int64,
+        (torch.uint32, torch.int16): torch.int64,
+        (torch.uint32, torch.int32): torch.int64,
+        (torch.uint32, torch.int64): torch.int64,
+    }
+except AttributeError:
+    _uint_promotion_table = {}
+    pass
+
+_promotion_table.update(_uint_promotion_table)
+
+
 def _two_arg(f):
     @_wraps(f)
     def _f(x1, x2, /, **kwargs):
diff --git a/array_api_compat/torch/_info.py b/array_api_compat/torch/_info.py
index 34fbcb21..d1cce55b 100644
--- a/array_api_compat/torch/_info.py
+++ b/array_api_compat/torch/_info.py
@@ -169,16 +169,26 @@ def _dtypes(self, kind):
         int32 = torch.int32
         int64 = torch.int64
         uint8 = torch.uint8
-        # uint16, uint32, and uint64 are present in newer versions of pytorch,
-        # but they aren't generally supported by the array API functions, so
-        # we omit them from this function.
+        try:
+            # pytorch >= 2.3
+            uint16 = torch.uint16
+            uint32 = torch.uint32
+            uint64 = torch.uint64
+            uint_kinds = {
+                "uint16": uint16,
+                "uint32": uint32,
+                "uint64": uint64,
+            }
+        except AttributeError:
+            uint_kinds = {}
+
         float32 = torch.float32
         float64 = torch.float64
         complex64 = torch.complex64
         complex128 = torch.complex128
 
         if kind is None:
-            return {
+            kinds = {
                 "bool": bool,
                 "int8": int8,
                 "int16": int16,
@@ -190,6 +200,8 @@ def _dtypes(self, kind):
                 "complex64": complex64,
                 "complex128": complex128,
             }
+            kinds.update(uint_kinds)
+            return kinds
         if kind == "bool":
             return {"bool": bool}
         if kind == "signed integer":
@@ -200,17 +212,21 @@ def _dtypes(self, kind):
                 "int64": int64,
             }
         if kind == "unsigned integer":
-            return {
+            kinds= {
                 "uint8": uint8,
             }
+            kinds.update(uint_kinds)
+            return kinds
         if kind == "integral":
-            return {
+            kinds= {
                 "int8": int8,
                 "int16": int16,
                 "int32": int32,
                 "int64": int64,
                 "uint8": uint8,
             }
+            kinds.update(uint_kinds)
+            return kinds
         if kind == "real floating":
             return {
                 "float32": float32,
@@ -222,7 +238,7 @@ def _dtypes(self, kind):
                 "complex128": complex128,
             }
         if kind == "numeric":
-            return {
+            kinds = {
                 "int8": int8,
                 "int16": int16,
                 "int32": int32,
@@ -233,6 +249,9 @@ def _dtypes(self, kind):
                 "complex64": complex64,
                 "complex128": complex128,
             }
+            kinds.update(uint_kinds)
+            return kinds
+
         if isinstance(kind, tuple):
             res = {}
             for k in kind: